651.5 is what percent of 765 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 765 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 765, so we can write it down as 100%=765.
4. We know, that x% equals 651.5 of the output value, so we can write it down as x%=651.5.
5. Now we have two simple equations:
1) 100%=765
2) x%=651.5
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=765/651.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 651.5 is what percent of 765

100%/x%=765/651.5
(100/x)*x=(765/651.5)*x       - we multiply both sides of the equation by x
100=1.1742133537989*x       - we divide both sides of the equation by (1.1742133537989) to get x
100/1.1742133537989=x
85.16339869281=x
x=85.16339869281

now we have:
651.5 is 85.16339869281% of 765